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Finding the Fourth Proportional to 46,757.91, 64,510.79 and 27,638.27

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Solution

The fourth proportional to 46,757.91, 64,510.79 and 27,638.27 is: 38,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,757.91 : 64,510.79 = 27,638.27 : x
  2. Step 2: Convert to fraction form
    46,757.91/64,510.79 = 27,638.27/x
  3. Step 3: Cross multiply
    46,757.91x = 64,510.79 × 27,638.27
  4. Step 4: Simplify right side
    46,757.91x = 1,782,966,631.93
  5. Step 5: Solve for x
    x = 1,782,966,631.93/46,757.91
  6. Step 6: Final answer
    x = 38,131.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.